Q: How is the number 32,314,410 written in Scientific Notation?

 A: 3.231441 x 107

Why is 32,314,410 written as 3.231441 x 107 in scientific notation?

The purpose of scientific notation is for scientists to write very large, or very small, numbers with ease.

Calculating scientific notation for a positive integer is simple, as it always follows this notation:

a x 10b

Follow the steps below to see how 32,314,410 is written in scientific notation.

Step 1

To find a, take the number and move a decimal place to the right one position.

  • Original Number: 32,314,410
  • New Number: 3.2314410

Step 2

Now, to find b, count how many places to the right of the decimal.

New Number: 3.2314410
Decimal Count: 1234567

There are 7 places to the right of the decimal place.

Step 3

Building upon what we know above, we can now reconstruct the number into scientific notation.

Remember, the notation is: a x 10b

a = 3.231441 (Please notice any zeroes on the end have been removed)

b = 7

Now the whole thing:

3.231441 x 107

Step 4

Check your work:

107 = 10,000,000 x 3.231441 = 32,314,410


More Scientific Notation Examples

32,314,40832,314,40932,314,41132,314,412
3.2314408 x 1073.2314409 x 1073.2314411 x 1073.2314412 x 107

Explore more about the number 32,314,410:


Ask a Question